total surface area = lateral area of cone + lateral area of cylinder + area of base of cylinder:
cone: πrL = π(5cm)(13cm) = 65πcm²
cylinder: 2πrh = 2π(5cm)(12cm) = 120πcm²
base: πr² = π(5cm)² = 25πcm²
total surface area = 65πcm² + 120πcm² + 25πcm² = 210πcm²